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Electrostatics question

2022 · 28 Jun · Shift 1 · Q50
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Electrostatics question

2022 · 28 Jun · Shift 1 · Q50

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Given below are two statements : Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive. Statement II : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero. Choose the correct answer from the options given below :
  1. A
    Both Statement I and Statement II are true.
  2. B
    Both Statement I and Statement II are false.
  3. C
    Statement I is true but Statement II is false.
  4. D
    Statement I is false but Statement II is true.
View written solutionFree

Correct answer: A

  1. Analyze Statement I

    The electric field at a point is the vector sum of fields due to all charges present.

    Suppose an external electric field E⃗0\vec E_0E0​ already exists, and now a positive point charge is brought nearby.

    The field due to a positive charge is directed away from the charge. At a nearby point, the added field E⃗q\vec E_qEq​ may be in the same direction as the original field E⃗0\vec E_0E0​, so the resultant field becomes E⃗=E⃗0+E⃗q\vec E = \vec E_0 + \vec E_qE=E0​+Eq​

    Hence, the magnitude of electric field at that point may increase if the added charge is positive.

    Therefore, Statement I is true.

  2. Analyze Statement II

    An electric dipole placed in a uniform electric field experiences zero net force but may experience torque.

    However, in a non-uniform electric field, the forces on +q+q+q and −q-q−q are unequal in magnitude because the field at the two ends is different.

    So, F⃗net≠0\vec F_{\text{net}} \neq 0Fnet​=0 in general for a dipole in a non-uniform electric field.

    Therefore, Statement II is true.

  3. Choose the correct option

    Since both Statement I and Statement II are true, the correct option is:

    A\boxed{\text{A}}A​

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